A snowmobile has a frame with an engine compartment and a tunnel, a front suspension, at least one ski, an engine, a bracket having a first portion joined to the engine and a second portion having an aperture defined therein, an output shaft, a countershaft passing through the aperture and being supported by the second portion of the bracket, a motion decoupler disposed in the aperture around the countershaft, the countershaft being rotationally supported in the motion decoupler, a driving pulley disposed on the output shaft, a driven pulley disposed on the countershaft, a drive belt looped around the driving and driven pulleys, and an endless drive track. The driving pulley, the driven pulley and the drive belt together form a continuously variable transmission.